420613657 has 2 divisors, whose sum is σ = 420613658. Its totient is φ = 420613656.

The previous prime is 420613637. The next prime is 420613679. The reversal of 420613657 is 756316024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267126336 + 153487321 = 16344^2 + 12389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420613657 is a prime.

It is not a weakly prime, because it can be changed into another prime (420613637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210306828 + 210306829.

It is an arithmetic number, because the mean of its divisors is an integer number (210306829).

Almost surely, 2^420613657 is an apocalyptic number.

It is an amenable number.

420613657 is a deficient number, since it is larger than the sum of its proper divisors (1).

420613657 is an equidigital number, since it uses as much as digits as its factorization.

420613657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 420613657 is about 20508.8677649450. The cubic root of 420613657 is about 749.2517913080.

The spelling of 420613657 in words is "four hundred twenty million, six hundred thirteen thousand, six hundred fifty-seven".